77706936 has 48 divisors (see below), whose sum is σ = 212340960. Its totient is φ = 25670400.

The previous prime is 77706911. The next prime is 77706947. The reversal of 77706936 is 63960777.

It is a junction number, because it is equal to n+sod(n) for n = 77706891 and 77706900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3361 + ... + 12911.

It is an arithmetic number, because the mean of its divisors is an integer number (4423770).

Almost surely, 2^77706936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77706936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106170480).

77706936 is an abundant number, since it is smaller than the sum of its proper divisors (134634024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77706936 is a wasteful number, since it uses less digits than its factorization.

77706936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 77706936 is about 8815.1537706384. The cubic root of 77706936 is about 426.7300844319.

It can be divided in two parts, 7770 and 6936, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 77706936 in words is "seventy-seven million, seven hundred six thousand, nine hundred thirty-six".